finding a constant for a partial differential equationby KataKoniK Tags: constant, differential, equation, partial 

#1
Nov3005, 07:48 PM

P: 168

Can anyone help me with this question? I tried taking the derivative of u with respect to x and then summed the third derivative, but I'm getting nowhere. Any help would be great, thanks.
Let u(x1, x2, … , xn) = , where a is a constant, and n is given. Find all the values of the constant a, if any, for which the function u satisfies the partial differential equation . 



#2
Dec405, 10:04 PM

Sci Advisor
HW Helper
P: 1,204

Do you think it's possible that you should be making a substitution for the sum of x_i squared? It just seems that polar coordinates might be an easier way to work the problem. Not that it would be easy.
Carl Now. How do I make that little "lightbulb" that I accidentally clicked on go away? 


Register to reply 
Related Discussions  
Solving a partial differential equation (Helmholtz equation)  Differential Equations  7  
Partial Differential Equation? What is this?  Calculus & Beyond Homework  5  
A very odd partial differential equation.  Differential Equations  0  
Finding 1st and 2nd total partial differential  Calculus  1  
Partial Differential Equation  Differential Equations  1 